There are primarily two methods for peptide synthesis: solid-phase peptide synthesis (SPPS) and liquid-phase peptide synthesis (LPPS). SPPS is the most commonly used method and involves the sequential addition of amino acids to a growing peptide chain that is anchored to a solid resin. LPPS, on the other hand, involves synthesizing peptides in solution. SPPS is preferred for its efficiency and ability to synthesize longer peptides with higher yields.